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10=x\times \frac{2.5}{0.8}
Variable x cannot be equal to 0 since division by zero is not defined. Multiply both sides of the equation by x.
10=x\times \frac{25}{8}
Expand \frac{2.5}{0.8} by multiplying both numerator and the denominator by 10.
x\times \frac{25}{8}=10
Swap sides so that all variable terms are on the left hand side.
x=10\times \frac{8}{25}
Multiply both sides by \frac{8}{25}, the reciprocal of \frac{25}{8}.
x=\frac{10\times 8}{25}
Express 10\times \frac{8}{25} as a single fraction.
x=\frac{80}{25}
Multiply 10 and 8 to get 80.
x=\frac{16}{5}
Reduce the fraction \frac{80}{25} to lowest terms by extracting and canceling out 5.